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Simplifying -14 = -2r + 2(-5r + -1) Reorder the terms: -14 = -2r + 2(-1 + -5r) -14 = -2r + (-1 * 2 + -5r * 2) -14 = -2r + (-2 + -10r) Reorder the terms: -14 = -2 + -2r + -10r Combine like terms: -2r + -10r = -12r -14 = -2 + -12r Solving -14 = -2 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -14 + 12r = -2 + -12r + 12r Combine like terms: -12r + 12r = 0 -14 + 12r = -2 + 0 -14 + 12r = -2 Add '14' to each side of the equation. -14 + 14 + 12r = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 12r = -2 + 14 12r = -2 + 14 Combine like terms: -2 + 14 = 12 12r = 12 Divide each side by '12'. r = 1 Simplifying r = 1
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